2...f6 is a blunder. 3. Nxe5 fxe5 4. Qh5+ g6 5.Qxe5+ Qe7 6. Qxh8 and white has a huge advantage. Not best play by black listed, but a common trap I use as a fellow 1000. Anyway, with perfect play after sacing the knight computer scores it +1.7.

2...f6 is a blunder. 3. Nxe5 fxe5 4. Qh5+ g6 5.Qxe5+ Qe7 6. Qxh8 and white has a huge advantage. Not best play by black listed, but a common trap I use as a fellow 1000. Anyway, with perfect play after sacing the knight computer scores it +1.7.

After h4 white cannot capture with the g pawn cause it's pinned to the bishop. Is here any hope for black to save the game? I've looked over some variations and all of them lead to mate or huge material loss

You could play 9 b4 right away, since 9... Qxa3 10 Rb3 wins the queen.

It's not considered a "sacrifice" if you will win your opponent's queen if he takes a piece. Black had to play 14... Nc6. And now you will have to defend your knight, which is why I don't think 14 Bb5 was your best move. 14 Bxf8 seems a good idea, since now your opponent will not be able to castle.

Also 13 Bxh6 gh 14 Nh4 seems likely to get Black into hot water early on.

Of course there's nothing wrong with picking off an extra rook like you did, but I would've been more likely to have played 19 d4+, trying to get at the exposed king as soon as possible.

4.Nc4 is probably just barely OK for white. But after 4...Qxe4 5.Qe2 Qxe2 6.Bxe2 d5 7.Ne3 c3 (or maybe even 7...d4), it doesn't seem white has any advantage. But maybe 5.Ne3 has possibilties. This continuation is so obvious it must have been tried before. So there's probably something wrong with it, because I didn't see it in any DBs I checked. Anyway, 1.e4 e5 2.Nf3 f6 3.Nxe5 Qe7 4.Nf3 Qxe4+ 5.Be2 is quite alright for white.

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